Key Knowledge (Number) Progression

This has been designed to indicate the progression of “Basic Facts” known as “Key knowledge” to support strategy learning. It also indicates the progression of Basic Facts learning.

Move on to memorise the basic facts
Memorising means that the student has fast recall without returning to any strategy.

Addition

Add on 0

Add on 1

Doubles

Make to 5

Make to 10

Count on from larger number up to 10

Count on from larger number up to 20

Derived facts from 11-20

Subtraction

Properties of 0

Properties of 1

Halves

Count back by 8 – 3,

Count back by 14 – 6

Inverse of addition

5+3 = 8 8 – 3 = 5

Multiplication

2x Doubles

10x Place value

5x Filling in the gaps ends with 0 if even number and 5 if an odd number

1x

4x Double doubles

3x smaller numbers

9x patterns

6x move 1 up from 5x

8x double 4x

7x – no set pattern!

Internal patterns:

10x 1 2 3 + 0

5x 5 0 5 0

2x 2 4 6 8 0

8x 8 6 4 2 0

4x 4 8 2 6 0

6x 6 2 8 4 0

3x 3 6 9 2 5 8 1 4 0

7x 7 4 1 8 5 2 9 6 3

Divisibility Rules

10 x ends in 0

2x even numbers

5x 0 or 5

3x sum of digits divisible of 3

9x sum of digits divisible by 9

6x sum of digits divisible by 2 and 3

Other multiplication tables

100x, 1000x 25x 125x 11.1x etc

Fractions, Percentages and Decimals

1/5 = 20% = 0.2

1/8 = 12.5%

½ x table 0.5

1/10 x table 0.1

1/5 x table 0.2

¼ x table 0.25

1/8x table 0.125

Power series (Exponents):

Square numbers

Triangular numbers

Cubic numbers

Prime numbers – odd and not divisible by 3 or 5

49 77 91 (why are these interesting)

Instant recall of Formulae, rules etc

Area = length x height

Area of a circle = 3.14 (pi) x radius squared.

About Our School

Opoho School is nestled off Signal Hill Road - the main street through a suburb that is clearly defined geographically.

To the south the suburb of Opoho borders the Upper Botanical gardens, to the west and north there is a rural aspect and to the west joins with a neighbouring valley residential area. Riding the crest of a hill, Opoho is a sunny location and is only four kilometres from the city centre.

Opoho also borders the University of Otago campus and Knox Theological College in North Dunedin. Many families are closely associated with these institutions through employment or study.